Home / 2,146.38-3,219.96-759.78

Finding the Fourth Proportional to 2,146.38, 3,219.96 and 759.78

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Solution

The fourth proportional to 2,146.38, 3,219.96 and 759.78 is: 1,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.38 : 3,219.96 = 759.78 : x
  2. Step 2: Convert to fraction form
    2,146.38/3,219.96 = 759.78/x
  3. Step 3: Cross multiply
    2,146.38x = 3,219.96 × 759.78
  4. Step 4: Simplify right side
    2,146.38x = 2,446,461.21
  5. Step 5: Solve for x
    x = 2,446,461.21/2,146.38
  6. Step 6: Final answer
    x = 1,139.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.